Functional Analysis, Calculus of Variations and Numerical Methods for Models in Physics and Engineering, Botelho, Fabio Silva

Автор: Almeida Ricardo, Pooseh Shakoor, Torres Delfim F.
Название: Computational Methods in the Fractional Calculus of Variations
ISBN: 1783266406 ISBN-13(EAN): 9781783266401
Издательство: World Scientific Publishing
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Цена: 68640.00 T
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Описание: This book fills a gap in the literature by introducing numerical techniques to solve problems of the Fractional Calculus of Variations (FCV). In most cases, finding the analytic solution to such problems is extremely difficult or even impossible, and numerical methods need to be used.

Автор: Clarke Francis
Название: Functional Analysis, Calculus of Variations and Optimal Cont
ISBN: 1447148193 ISBN-13(EAN): 9781447148197
Издательство: Springer
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Цена: 65170.00 T
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Описание: This book provides a thorough introduction to optimal control, offering many substantial examples, and more than 300 exercises covering viscosity solutions, nonsmooth Lagrangians, the logarithmic Sobolev inequality, periodic trajectories, and systems theory.

Автор: Ken Binmore, Davies J.
Название: Calculus: Concepts and methods, 2nd ed.
ISBN: 0521775418 ISBN-13(EAN): 9780521775410
Издательство: Cambridge Academ
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Цена: 64410.00 T
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Описание: Takes readers gently from single to multivariate calculus and simple differential and difference equations. Unusually the book offers a wide range of applications in business and economics, as well as more conventional scientific examples. Full colour Mathematica diagrams have been used to give accurate and attractive diagrams to help students visualise the complex mathematical objects.

Автор: Molica Bisci
Название: Variational Methods for Nonlocal Fractional Problems
ISBN: 1107111943 ISBN-13(EAN): 9781107111943
Издательство: Cambridge Academ
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Цена: 141510.00 T
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Описание: Devoted to the variational analysis of problems described by nonlocal operators, this book will appeal to a wide range of researchers and graduate students in mathematics, especially those interested in nonlinear phenomena. A careful balance is struck between rigorous mathematics and physical applications.

Автор: Yanfei Wang, Anatoly G. Yagola, Changchun Yang
Название: Computational Methods for Applied Inverse Problems
ISBN: 3110259044 ISBN-13(EAN): 9783110259049
Издательство: Walter de Gruyter
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Цена: 198290.00 T
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Описание: The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an international readership of professional scientists and researchers. The series aims to publish works which involve both theory and applications in, e.g., physics, medicine, geophysics, acoustics, electrodynamics, tomography, and ecology.

Автор: Thomas Schuster, Barbara Kaltenbacher, Bernd Hofmann, Kamil S. Kazimierski
Название: Regularization Methods in Banach Spaces
ISBN: 3110255243 ISBN-13(EAN): 9783110255249
Издательство: Walter de Gruyter
Цена: 161100.00 T
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Описание: Regularization methods aimed at finding stable approximate solutions are a necessary tool to tackle inverse and ill-posed problems. Inverse problems arise in a large variety of applications ranging from medical imaging and non-destructive testing via finance to systems biology. Many of these problems belong to the class of parameter identification problems in partial differential equations (PDEs) and thus are computationally demanding and mathematically challenging. Hence there is a substantial need for stable and efficient solvers for this kind of problems as well as for a rigorous convergence analysis of these methods. This monograph consists of five parts. Part I motivates the importance of developing and analyzing regularization methods in Banach spaces by presenting four applications which intrinsically demand for a Banach space setting and giving a brief glimpse of sparsity constraints. Part II summarizes all mathematical tools that are necessary to carry out an analysis in Banach spaces. Part III represents the current state-of-the-art concerning Tikhonov regularization in Banach spaces. Part IV about iterative regularization methods is concerned with linear operator equations and the iterative solution of nonlinear operator equations by gradient type methods and the iteratively regularized Gau?-Newton method. Part V finally outlines the method of approximate inverse which is based on the efficient evaluation of the measured data with reconstruction kernels.

Автор: Karl K. Sabelfeld, Nikolai A. Simonov
Название: Stochastic Methods for Boundary Value Problems: Numerics for High-dimensional PDEs and Applications
ISBN: 3110479060 ISBN-13(EAN): 9783110479065
Издательство: Walter de Gruyter
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Цена: 123910.00 T
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Описание: This monograph is devoted to random walk based stochastic algorithms for solving high-dimensional boundary value problems of mathematical physics and chemistry. It includes Monte Carlo methods where the random walks live not only on the boundary, but also inside the domain. A variety of examples from capacitance calculations to electron dynamics in semiconductors are discussed to illustrate the viability of the approach.The book is written for mathematicians who work in the field of partial differential and integral equations, physicists and engineers dealing with computational methods and applied probability, for students and postgraduates studying mathematical physics and numerical mathematics. Contents: IntroductionRandom walk algorithms for solving integral equationsRandom walk-on-boundary algorithms for the Laplace equationWalk-on-boundary algorithms for the heat equationSpatial problems of elasticityVariants of the random walk on boundary for solving stationary potential problemsSplitting and survival probabilities in random walk methods and applicationsA random WOS-based KMC method for electron-hole recombinationsMonte Carlo methods for computing macromolecules properties and solving related problemsBibliography

Автор: Hsing Tailen
Название: Theoretical Foundations of Functional Data Analysis, with an
ISBN: 0470016914 ISBN-13(EAN): 9780470016916
Издательство: Wiley
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Цена: 69640.00 T
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Описание: ?? Provides a concise but rigorous account of the theoretical background of FDA. ?? Introduces topics in various areas of mathematics, probability and statistics from the perspective of FDA. ?? Presents a systematic exposition of the fundamental statistical issues in FDA.

Автор: Miroslav Bacak
Название: Convex analysis and optimization in Hadamard spaces
ISBN: 3110361035 ISBN-13(EAN): 9783110361032
Издательство: Walter de Gruyter
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Цена: 136310.00 T
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Описание: In the past two decades, convex analysis and optimization have been developed in Hadamard spaces. This book represents a first attempt to give a systematic account on the subject. Hadamard spaces are complete geodesic spaces of nonpositive curvature. They include Hilbert spaces, Hadamard manifolds, Euclidean buildings and many other important spaces. While the role of Hadamard spaces in geometry and geometric group theory has been studied for a long time, first analytical results appeared as late as in the 1990s. Remarkably, it turns out that Hadamard spaces are appropriate for the theory of convex sets and convex functions outside of linear spaces. Since convexity underpins a large number of results in the geometry of Hadamard spaces, we believe that its systematic study is of substantial interest. Optimization methods then address various computational issues and provide us with approximation algorithms which may be useful in sciences and engineering. We present a detailed description of such an application to computational phylogenetics. The book is primarily aimed at both graduate students and researchers in analysis and optimization, but it is accessible to advanced undergraduate students as well.

Автор: Anatoly Kochubei, Yuri Luchko
Название: Fractional Differential Equations
ISBN: 3110570823 ISBN-13(EAN): 9783110570823
Издательство: Walter de Gruyter
Цена: 161100.00 T
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Описание: This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This second volume collects authoritative chapters covering the mathematical theory of fractional calculus, including ordinary and partial differential equations of fractional order, inverse problems, and evolution equations.

Автор: Peter Benner, Wilhelmus Schilders, Stefano Grivet-Talocia, Alfio Quarteroni, Gianluigi Rozza, Luis Miguel Silveira
Название: Model Order Reduction: Volume 1: System- and Data-Driven Methods and Algorithms
ISBN: 3110500434 ISBN-13(EAN): 9783110500431
Издательство: Walter de Gruyter
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Цена: 210690.00 T
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Описание:

An increasing complexity of models used to predict real-world systems leads to the need for algorithms to replace complex models with far simpler ones, while preserving the accuracy of the predictions. This two-volume handbook covers methods as well as applications. This first volume focuses on real-time control theory, data assimilation, real-time visualization, high-dimensional state spaces and interaction of different reduction techniques.

Автор: Francis Clarke
Название: Functional Analysis, Calculus of Variations and Optimal Control
ISBN: 1447162102 ISBN-13(EAN): 9781447162100
Издательство: Springer
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Цена: 65170.00 T
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Описание: This book provides a thorough introduction to optimal control, offering many substantial examples, and more than 300 exercises covering viscosity solutions, nonsmooth Lagrangians, the logarithmic Sobolev inequality, periodic trajectories, and systems theory.